Answer:
k = 37/8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
-29 = 9 - 6k - 2k - 1
Step 2: Solve for k
Combine like terms: -29 = 8 - 8k[Subtraction Property of Equality] Subtract 8 on both sides: -37 = -8k[Division Property of Equality] Divide -8 on both sides: 37/8 = kRewrite/Rearrange: k = 37/8Step 3: Check
Plug in k into the original equation to verify it's a solution.
Substitute in k: -29 = 9 - 6(37/8) - 2(37/8) - 1Multiply: -29 = 9 - 111/4 - 37/4 - 1Subtract: -29 = -75/4 - 37/4 - 1Subtract: -29 = -28 - 1Subtract: -29 = -29Here we see that -29 does indeed equal -29.
∴ k = 37/8 is the solution to the equation.
The button on Keith's shirt has a radius of 3 cm.
Calculate the circumference of the button on
Keith's shirt.
Answer:
first find the diameter 3x2=6
6 is the diameter multiply the diameter x 3.14
6x3.14=18.84
Step-by-step explanation:
If you divide my number by "-5 and add -2, the result is -4. What's my number?
Answer:
10
Step-by-step explanation:
10/-5 = -2
-2+-2 = -4
Answer:
10
Step-by-step explanation:
First, arrange this word problem as an equation. Using N as the unknown number, we see:
(N/-5) + (-2) = -4
Next, we add -2 to both sides of the equation:
(N/-5) = -2
Now multiply both sides by -5:
N=10
Hope that helps!
Which of the following statements is TRUE regarding b(x)?
A. Over the interval [0, 1], b(x) is negative and is increasing.
B. Over the interval [0, 1], b(x) is positive and is decreasing.
c. Over the interval [0, 1], 5(x) is positive and is increasing.
D. Over the interval [0, 1], b(x) is negative and is decreasing.
The only statement that is true regarding the given graph of polynomial b(x) is; Option D; Over the interval [0, 1], b(x) is negative and is decreasing.
The given graph represents the polynomial b(x). Let us look at the options;
Option A; Over the interval (0, 1), we can see that the curve is decreasing from b(x) = 0 to b(x) = -2. Thus, the statement is wrong.
Option B; Over the interval of (0, 1), b(x) is not positive over the interval (0, 1) and so the statement is wrong.
Option C; Over the interval of (0, 1), b(x) is not positive and increasing and so the statement is wrong.
Option D; Over the interval of (0, 1), b(x) is negative and is also decreasing and so this option is correct.
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A rectangle shop in the mall has a perimeter of 36 meters. Its area is 80 square meters. What are the dimensions of the shop?
Answer:
Length, l = 10 m, breadth = 8 m
Step-by-step explanation:
Let l be the length and b be the width of the rectangle.
The area of a rectangle is given by :
A = lb
80 = lb ...(1)
The perimeter of a rectangle is given by :
P = 2(l+b)
36 = 2(l+b)
18 = (l+b) ....(2)
We need to solve equation (1) and (2). On solving we get :
l = 10, b = 8
So, the dimensions of the shop is 10 m and 8 m.
Emma is a sales clerk at a bicycle shop. She is paid $6.25 per hour for 30 hours work week plus a commission of 8% of sales. In one week, her sales were $2319.75, what is her gross weekly earning?
Answer: $373.08
Step-by-step explanation:
First find out what she earned from her normal wages.
She is paid $6.25 per hour for 30 hours in a week. Her weekly pay is therefore:
= 6.25 * 30
= $187.50
She then gets 8% of her sales as commission. Her commission is therfore:
= 8% * 2,319.75
= $185.58
Her gross pay is therefore:
= Weekly pay + Commission
= 187.50 + 185.58
= $373.08
PLEASE HELP ME ASAP!! MY CLASS IN 6 MINUTES!
At a gathering of 12 people, there are 5 people who all know each other and 7 people who know no one. People who do not know each other shake hands. How many handshakes occur?
Answer: someone told me its 35 so...
Step-by-step explanation:
Answer:
Step-by-step explanation: Since there are 7 people who shake hands with everybody including the people who know each other, we can add 11+10+9+8+7+6+5, because each handshake counts once, but the other five can't be counted because they are the people who already know each other and if you add 11+10+9+8+7+6+5, you will also get 16*3 +8 which equals to 56.
What is the answer to 0*8(3+1-4)
Answer:
caca
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
(0)(8)(3+1−4)
=0(3+1−4)
=0(4−4)
=(0)(0)
=0
. Krystal had 12 chocolates. She ate 4
chocolates the day before yesterday and 4
chocolates yesterday. How many chocolates
does she have now?
Answer: 4 Chocolates
what is the slope of (-3,-6) and (4,7)
Answer:
13/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(7-(-6))/(4-(-3))
m=(7+6)/(4+3)
m=13/7
can someone please help me with this equation!
Answer:
$19
Step-by-step explanation:
this is the answer
PLEASE HELP!!!!!!!!!
Answer:
A
B
C
D
E
Step-by-step explanation:
You need 180 or 360 degrees to make a Cyclic Quadrilateral.
So, if you add all of the expressions. You get 360.
Hopefully, you get it right!
ILL GIVE BRAINLIEST TO WHOEVER ANSWERS AND EXPLAINS!! HELP QUICK!
Answer:
4 or 8
Step-by-step explanation:
tres amigos. se van de viaje y quieren. alquilar un coche durante un fin de semana.
Han calculado que cada uno tendra que pagar en total 600 pesos por el alquiler del coche.
Antes de reservar se apuntan dos amigos mas
cuanto tendrian que pagar cada hora?
Answer:
operaciones : 600×3= 1800÷5=360.
Step-by-step explanation:
y entonces cada amigo tendra que pagar 360 ya que eran 3 amigos y iban a pagar 600 cada uno pero ahora son 5 asi que deben de pagar 360
Water and orange squash is mixed in the ratio 11 : 2 Find how much water is needed to dilute 240 cl of orange squash
Answer: 1,320 cl
Step-by-step explanation:
Water and orange squash are mixed in the ratio 11 : 2.
This means that at their simplest if using cl, it would take 11cl of water and 2 cl of orange squash for a proper dilution.
If 240 cl of orange sqaush is used and you need to find the amount of water, use direct proportion with x as water.
11 : 2
x : 240
Cross-multiply:
2x = 11 * 240
x = 2,640 / 2
= 1,320 cl
What percent decrease when the balance in a bank account goes from $300 to $60?
The percent decrease is 20%
The percent decrease is 25%
The percent decrease is 80%
The percent decrease is 87%
The midpoint of RS is point T. What are the coordinates
of point S?
5
4
3
R (-2,3)
01 - 3
0 1 )
2
1
45 -4 -3 -2 -1
2
3
4
5
X
O (8,4)
(10,-7)
-2
T(4-2)
-3
Answer:
( 10,-7)
i didn't understand what u wrote in choice
The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).
What is mid point?In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
here, we have,
The points that are given to us are R(-2,3) and T(4, -2).
The point T is the mid point of the line segment RS.
If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,
M = ((a+c)/2), ((b+d/2))
So, using the above modified form of section formula we can find the coordinates of the point S.
Assuming point S to be x and y.
So, putting all the values,
(4, -2) = ((-2+x)/2), ((3+y/2))
Now, solving further, we get,
-1+x/2 = 4
-2+x = 8
x = 10
And,
3 + y = -4
y = -7
So, the coordinates are (10, -7).
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What is the y-intercept of the equation 2x + 3y = 12?
- 2/3
6
12
4
Answer:
A ) -2/3
Step-by-step explanation:
Rewrite the equation in slope-intercept form.
y = mx + b
2x + 3y = 12
2x - 2x + 3y = 12 - 2x
3y = 12 - 2x
3y/3 = 12/3 - 2x/3
[tex]y = -\frac{2}{3} x + 4[/tex]
Answer:
The answer above is correct!
Step-by-step explanation:
Hope it helps :)
This table shows how much each type of meat costs at a local deli.
Type of Meat Price per Pound
Ham $5.99
Turkey $4.99
roast beef $6.99
salami $2.99
bologna $3.99
A customer purchased 1/ 4 pound of ham, 1 1/2 pounds of turkey, 1 pound of roast beef, and
3/ 4 pound of bologna. Approximately what will the customer pay before taxes
The price that the customer pay before taxes is $18.965.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given a table which shows the unit price of the meat at a local deli.
A customer purchased 1/ 4 pound of ham, 1 1/2 pounds of turkey, 1 pound of roast beef, and 3/ 4 pound of bologna.
In order to get the price of each meat, multiply unit price with the amount that the customer buy.
Total price = (1/4 × $5.99) + (3/2 × $4.99) + (1 × $6.99) + (3/4 × $3.99)
= $18.965
Hence the total price paid is $18.965.
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The masses of four vehicles and the net forces acting on them as they enter a highway are recorded in the table below. Vehicle Mass (kg) Force (N) Sedan 1400 5250 SUV 1900 5250 Truck 2100 5250 RV 2500 5250 Which vehicle has the greatest acceleration as it enters the highway?
Answer:
if you use Newton's 2nd rule:
F = m* a (force = mass * acceleration)
you can rearrange the terms to:
a = F/m (acceleration = Force/mass)
which will let you solve for acceleration.
I need help AGAIN lol- I'll mark brainliest :3
Simplify it- don't solve it. Show your work too please!
Answer:
you have to apply to both things in the bracket. its r^12*t^12
Step-by-step explanation:
Subtract. Express your answer in simplest form.
8 1/4 - 5 2/3
What is the slope of the line shown in the graph?
−1
−2
negative 1 over 2
2
Answer:
Slope = -2
Step-by-step explanation:
y2-y1/ x2-x1
Can you make a math equation turn from + to x with the same numbers and get the same answer but the numbers dont have to be in the same order
Answer:
See explanations below
Step-by-step explanation:
Let the numbers be 2 and 2
Taking the sum using the plus(+) sign
2 + 2 = 4
Taking the product using the multiplication sign (×)
2×2 = 4
You can see that the answer to both expression are equal even by changing the sign from + to × that is;
2+2 = 2×2 = 4
A polygon will be dislates on a coordinate grid to creat a smaller polygon. The polygon is dilated using the organ as the center of dilation. What rule could represent this dilation? A-(x,y) (0.5-x,0.5-y)
Answer:
The answer is "Choice D".
Step-by-step explanation:
Please find the complete question in the attached file.
It might indeed multiply that each coordinated throughout this question and construct a delay. In this question, The c instant of differentiation to go and get a smaller image is less than 1, and construct a smaller polygon, that polygon would be extended on even metering systems. Its polygon is distributed out by using the source as the dilation core.
Find the total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years
Answer:
$7400
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 5000 × 0.04 × 12 = 2400
I = $ 2,400.00
The simple interest accumulated
on a principal of $ 5,000.00
at a rate of 4% per year
for 12 years is $ 2,400.00.
The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years is $2400 and this can be determined by using the simple interest formula.
Given :
The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years.
The total amount due on a simple interest loan can be determined by using the simple interest formula which is given by the equation:
[tex]\rm I = PRT[/tex]
Given that time, T = 12 years
Rate, R = 4% = 0.04
Principal amount, P = $5000
Now, put the value of P, R, and T in the equation (1).
[tex]\rm I = 5000\times 0.04 \times 12[/tex]
I = $2400
The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years is $2400.
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Function or not a function?
Answer:
Function
Step-by-step explanation:
(-2,2)(-1,2)(0,0)(1,-2)(2,1) the x does not repeat so it is a function
find the domain of the function y=-e^x-3
9514 1404 393
Answer:
all real numbers
Step-by-step explanation:
The domain of any exponential function is "all real numbers."
-∞ < x < ∞
Round 275,198 to the nearest hundred thousand.
Answer:
300,000
Step-by-step explanation:
Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places
Answer:
A
Step-by-step explanation:
A linear function is a straight line when graphed so is not B.
For confirmation of A note how for each increase of 3 in x we get the same increase of 5 in y.
You are trying to increase your monthly savings to buy a used car. Your boss allows you to work one hour of overtime at time-and-half 5 days per week. Your regular wage is $12.00 per hour. You want to save $3,000 for your car. Approximately how many weeks must you work with the extra hour per day to reach your goal?
Answer:
34 weeks
Step-by-step explanation:
As given,
Wage of 1 hour = $12
⇒1$ = [tex]\frac{1}{12}[/tex] hour
⇒$3000 = [tex]\frac{3000}{12}[/tex] = 250 hour
As given,
1 week = 5 days
And he works
[tex]1\frac{1}{2} = \frac{3}{2}[/tex] hour in 1 day
⇒5 days = 5×[tex]\frac{3}{2}[/tex] = [tex]\frac{15}{2}[/tex] hours
⇒1 week = [tex]\frac{15}{2}[/tex] hours
⇒1 hour = [tex]\frac{2}{15}[/tex] week
⇒250 hour = [tex]\frac{250 . 2}{15}[/tex] = 33.34 weeks ≈ 34 weeks
∴ we get
He has to Approximately work for 34 weeks with the extra hour per day to reach your goal.